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Large-scale renewable energy deployment introduces pronounced volatility into the electricity system, turning grid operation into a complex stochastic optimization problem. Accurate electricity price forecasting (EPF) is essential not only…

Machine Learning · Computer Science 2026-04-17 Jan Niklas Lettner , Hadeer El Ashhab , Veit Hagenmeyer , Benjamin Schäfer

We study a refrigerator model which consists of two $n$-level systems interacting via a pulsed external field. Each system couples to its own thermal bath at temperatures $T_h$ and $T_c$, respectively ($\theta\equiv T_c/T_h<1$). The…

Statistical Mechanics · Physics 2009-06-16 Armen E. Allahverdyan , Karen Hovhannisyan , Guenter Mahler

We study the ratio between the variances of work output and heat input, $\eta^{(2)}$, for a class of four-stroke heat engines which covers various typical cycles. Recent studies on the upper and lower bounds of $\eta^{(2)}$ are based on the…

Statistical Mechanics · Physics 2022-12-01 Guo-Hua Xu , Chao Jiang , Yuki Minami , Gentaro Watanabe

Information engines harness measurement and feedback to convert energy into useful work. In this study, we investigate the fundamental trade-offs between ergotropic output power, thermodynamic efficiency and information-to-work conversion…

Quantum Physics · Physics 2025-11-26 Rasmus Hagman , Jonas Berx , Janine Splettstoesser , Henning Kirchberg

We present a unified perspective on nonequilibrium heat engines by generalizing nonlinear irreversible thermodynamics. For tight-coupling heat engines, a generic constitutive relation of nonlinear response accurate up to the quadratic order…

Statistical Mechanics · Physics 2015-03-06 Shiqi Sheng , Z. C. Tu

On the basis of the author's earlier results, a new source function for a numerical wind-wave model optimized by the criterion of accuracy and speed of calculation is substantiated. The proposed source function includes (a) an optimized…

Atmospheric and Oceanic Physics · Physics 2010-06-30 Vladislav Polnikov

An expression for the energetic efficiency of a molecular motor is presented in terms of an effective temperature, which was defined based on the ratio of the correlation function to the susceptibility of its velocity. We also present a…

Statistical Mechanics · Physics 2007-05-23 Takahiro Harada

Optimal radiator thermal emission spectra maximizing thermophotovoltaic (TPV) conversion efficiency and output power density are determined when temperature effects in the cell are considered. To do this, a framework is designed in which a…

Computational Physics · Physics 2015-12-08 John DeSutter , Michael P. Bernardi , Mathieu Francoeur

In this Letter, we show thermoelectric conversion efficiency is \emph{exactly} determined by \emph{three} independent material parameters $Z_{\rm gen}$, $\tau$, and $\beta$. Each parameter is a figure of merit hence improving $\tau$ or…

Materials Science · Physics 2019-10-25 Byungki Ryu , Jaywan Chung , SuDong Park

Engineering Thermodynamics has been the core course of many science and engineering majors around the world, including energy and power, mechanical engineering, civil engineering, aerospace, cryogenic refrigeration, food engineering,…

Physics Education · Physics 2021-01-19 Di He , Zhipeng Duan , Chaojun Wang , Boshu He

The efficiency at maximum power has been investigated extensively, yet the practical control scheme to achieve it remains elusive. We fill such gap with a stepwise Carnot-like cycle, which consists the discrete isothermal process (DIP) and…

Quantum Physics · Physics 2018-08-29 Yu-Han Ma , Dazhi Xu , Hui Dong , Chang-Pu Sun

Characterizing and optimizing nanoscopic heat engines require an appropriate understanding of the interplay between power, efficiency, entropy production and fluctuations. Despite significant recent advancements, including linear stochastic…

Statistical Mechanics · Physics 2025-11-07 Gustavo A. L. Forão , Jonas Berx , Carlos E. Fiore

The finite basis optimized effective potential (OEP) method within density functional theory is examined as an ill-posed problem. It is shown that the generation of nonphysical potentials is a controllable manifestation of the use of…

Materials Science · Physics 2009-11-11 Tim Heaton-Burgess , Felipe A. Bulat , Weitao Yang

Agreement is a foundational problem in distributed computing that have been studied extensively for over four decades. Recently, Meir, Mirault, Peleg and Robinson introduced the notion of \emph{Energy Efficient Agreement}, where the goal is…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-04 Shachar Meir , David Peleg

A finite cycle time information engine based on a two-level system in contact with a thermal reservoir is studied analytically. The model for the engine incorporates an error in measuring the system's state and time delay between the…

Statistical Mechanics · Physics 2024-05-13 Kiran V , Toby Joseph

An equilibrium reversible cycle with a certain engine to transduce the energy of any chemical reaction into mechanical energy is proposed. The efficiency for chemical energy transduction is also defined so as to be compared with Carnot…

Soft Condensed Matter · Physics 2009-10-30 Tatsuo Shibata , Shin-ichi Sasa

This work focuses on off-policy evaluation (OPE) with function approximation in infinite-horizon undiscounted Markov decision processes (MDPs). For MDPs that are ergodic and linear (i.e. where rewards and dynamics are linear in some known…

Machine Learning · Computer Science 2020-06-24 Nevena Lazic , Dong Yin , Mehrdad Farajtabar , Nir Levine , Dilan Gorur , Chris Harris , Dale Schuurmans

We study the off-policy evaluation (OPE) problem in an infinite-horizon Markov decision process with continuous states and actions. We recast the $Q$-function estimation into a special form of the nonparametric instrumental variables (NPIV)…

Statistics Theory · Mathematics 2022-06-28 Xiaohong Chen , Zhengling Qi

We consider two specific thermodynamic cycles of engine operating in a finite time coupled to two thermal reservoirs with a finite heat capacity: The Carnot-type cycle and the Lorenz-type cycle. By means of the endo-reversible…

General Physics · Physics 2017-10-11 Ilki Kim , Hui Wan , Soumya S. Patnaik

Biological processes that are able to discriminate between different molecules consume energy and dissipate heat. They operate at different levels of fidelity and speed, and as a consequence there exist fundamental trade-offs between these…

Statistical Mechanics · Physics 2025-02-28 Jonas Berx , Karel Proesmans